UV texture repeating but shouldn't be?
Actually you think that the other parts of the mesh won't have the texture displayed because they are off the image in the UV/Image Editor but you need to know that the image is actually repeated as a pattern, that allows you for example to create seamless repeated pattern textures. So you need either to move your other faces on a transparent part of the image, or even don't unwrap these other faces of your object, or as suggested by bstnhnsl, choose Clip mode instead of Repeat in the Image Texture node.

Here is an example of an object that has the same image repeated on another face, while it looks like this other face is off the image:



If I increase the size of my mesh in the UV/Image Editor, you can clearly see what I mean: